books.google.com - This book gives a thorough treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis. Software practicalities are emphasized throughout, with particular reference to LAPACK and MATLAB....http://books.google.com/books/about/Accuracy_and_Stability_of_Numerical_Algo.html?id=FJyBjjtHREQC&utm_source=gb-gplus-shareAccuracy and Stability of Numerical Algorithms

This book gives a thorough treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis. Software practicalities are emphasized throughout, with particular reference to LAPACK and MATLAB.